232339968 has 240 divisors, whose sum is σ = 802359360. Its totient is φ = 66382848.

The previous prime is 232339927. The next prime is 232339981. The reversal of 232339968 is 869933232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (419904) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33191421 + ... + 33191427.

It is an arithmetic number, because the mean of its divisors is an integer number (3343164).

Almost surely, 2^232339968 is an apocalyptic number.

232339968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401179680).

232339968 is an abundant number, since it is smaller than the sum of its proper divisors (570019392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232339968 is an frugal number, since it uses more digits than its factorization.

232339968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 12 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 232339968 is about 15242.7021226553. The cubic root of 232339968 is about 614.7633592839.

The spelling of 232339968 in words is "two hundred thirty-two million, three hundred thirty-nine thousand, nine hundred sixty-eight".